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Existence of solutions of infinite systems of differential equations of general order with boundary conditions in the spaces c 0 and ℓ 1 via the measure of noncompactness
Author(s) -
Srivastava H. M.,
Das Anupam,
Hazarika Bipan,
Mohiuddine S. A.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4845
Subject(s) - mathematics , banach space , order (exchange) , mathematical analysis , boundary value problem , differential equation , boundary (topology) , pure mathematics , economics , finance
The aim of this paper is to obtain existence results for an infinite system of differential equations of order n with boundary conditions in the Banach spaces c 0 and ℓ 1 with the help of a technique associated with measures of noncompactness. We also provide some illustrative examples in support of our existence theorems.

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